Sunday Times Teaser 2518 – No Title
by Victor Bryant
Published December 26 2010 (link)
For an appropriate Boxing Day exercise, write a digit in each of the boxes (x) so that (counting all the digits from here to the final request) the following statements are true.
|_____||number of occurrences of 0||x||_____||total occurrences of 6’s and 7’s||x|
|number of occurrences of 1||x||total occurrences of 8’s and 9’s||x|
|total occurrences of 2’s and 3’s___||x||a digit you have written in another box___||x|
|total occurrences of 4’s and 5’s||x||the average of all your written digits||x|
What, in order, are the digits in your boxes?